/*
www-ATLAS of Group Representations.
2.L2(11) represented as 6 x 6 matrices over GF(11).
*/

F:=GF(11);

x:=CambridgeMatrix(3,F,6,\[
0,1,0,0,0,0,
10,0,0,0,0,0,
0,0,0,1,0,0,
0,0,10,0,0,0,
0,0,0,0,0,1,
0,0,0,0,10,0]);

y:=CambridgeMatrix(3,F,6,\[
0,10,0,0,0,0,
0,0,1,0,0,0,
10,0,0,0,0,0,
0,0,0,0,1,0,
8,7,10,7,3,5,
6,4,8,7,10,8]);

G<x,y>:=MatrixGroup<6,F|x,y>;
print "Group G is 2.L2(11) < GL(6,GF(11))";